Show all work . Round to 2 decimal places. 1. Applicants complete a test of reasoning and logic as part of a hiring process. The number of errors made is recorded and used as the response score. The parameters for the response variable are: = 15, = 3.09. Assume the data form a normal distribution. a. What percentage of scores are between 10 and 20? b. Between what 2 scores do 92% of all applicants score? c. What score is needed to be in the top 1%? 2. The concept of Locus of Control (LoC) was first described by psychologist Julian B. Rotter as a generalized expectancy regarding the source of control of reinforcements. More specifically, locus of control is the extent to which an individual believes that the events and outcomes experienced in life are attributable to their own behavior and characteristics (internal locus of control) or to external forces outside of their control such as luck, chance, or other people (external locus of control). Research shows that people high in external locus of control are more maladjusted, less happy, less productive, and overall have more problems than people high in internal locus of control. Suppose researchers were interested in testing for the difference in locus of control between elementary school children of a certain town in comparison to the expected population average of that state, which is 12. Suppose they gave students at the school the Locus of Control Scale which ranges from 0 (high internal LoC) to 23 (high external LoC) and obtain the following data: LoC scores: 13 N = 10 20 M = 15.5 8 S = 4.35 21 13 11 20 17 14 18 a) State the null hypothesis and the alternative hypothesis. b) Identify the statistical test to be used c) State the critical values of the test statistic d) Compute the value of the test statistic e) Make a statistical decision for each hypothesis f) Provide an interpretation of the results. 3. The following data was collected to assess the probability that students would engage in safe sex behaviors after listening to an informational lecture. The data was informed by the Theory of Planned Behavior (Ajzen, 1985), which includes behavioral intention as one component of the model. Students completed a measure of behavioral intention, which is the perceived likelihood of a person carrying out a given behavior. The scale ranges from 0-50 with a higher score on the assessment indicating greater intention to engage in safe sex practices. The following table represents behavioral intention scores for the participants after the lecture. X 42 N = 11 29 M = 32.36 37 s = 10.64 44 19 33 37 12 24 33 46 a) Complete the following steps to calculate a 90% confidence interval for the dataset: I. State the point estimate II. Determine the critical value of test statistic III. Calculate the standard error of the mean. IV. Calculate the margin of error b) Report the 90% confidence interval for the dataset. c) Draw a conclusion about the confidence interval. What's going on ? I asked this yesterday